# calculus

posted by
**andy**
.

f(x) and f′(x) are continuous, differentiable functions that satisfy

f(x)=x^3+4x^2+∫ (from 0 to x)(x−t)f′(t) dt.

What is f′(5)−f(5)?

posted by
**andy**
.

f(x) and f′(x) are continuous, differentiable functions that satisfy

f(x)=x^3+4x^2+∫ (from 0 to x)(x−t)f′(t) dt.

What is f′(5)−f(5)?